Cremona's table of elliptic curves

4620 = 2² · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7- 11-	Signs for the Atkin-Lehner involutions
Class	4620f	Isogeny class
Conductor	4620	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	670881657600 = 28 · 34 · 52 · 76 · 11	Discriminant
Eigenvalues	2- 3+ 5- 7- 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4180,97672]	[a1,a2,a3,a4,a6]
Generators	[22:126:1]	Generators of the group modulo torsion
j	31558509702736/2620631475	j-invariant
L	3.515094105137	L(r)(E,1)/r!
Ω	0.88639161504314	Real period
R	0.22031233433029	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480cx2 73920cp2 13860m2 23100x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4620f2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	-	-	-	-2	-2	4	-6	-10	-2	2	8	0	-12	2	-10	-4	-10	8	-14	0	4	-6	-2

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Quadratic twists for elliptic curve 4620f2

-4	8	-3	5	-7	-11
18480cx2	73920cp2	13860m2	23100x2	32340bf2	50820g2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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